Question

Simplify: 2√3 − √3 − 3√3 + √12​

Answer 1

Answer:

Here is the answer you were looking for:

\begin{gathered}4 \sqrt{3} - 3 \sqrt{12} + 2 \sqrt{75} \\ \\ = 4 \sqrt{3} - 3 \sqrt{2 \times 2 \times 3} + 2 \sqrt{5 \times 5 \times 3} \\ \\ = 4 \sqrt{3} - 3 \times 2 \sqrt{3} + 2 \times 5 \sqrt{3} \\ \\ = 4 \sqrt{3} - 6 \sqrt{3} + 10 \sqrt{3} \\ \\ = 4 \sqrt{3} + 10 \sqrt{3} - 6 \sqrt{3} \\ \\ = 14 \sqrt{3} - 6 \sqrt{3} \\ \\ = 8 \sqrt{3} \end{gathered}

4

3

−3

12

+2

75

=4

3

−3

2×2×3

+2

5×5×3

=4

3

−3×2

3

+2×5

3

=4

3

−6

3

+10

3

=4

3

+10

3

−6

3

=14

3

−6

3

=8

3

Answer 2

Answer:

Here is your answer

=7.26794919243112